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Finding the Fourth Proportional to 492.06, 737.79 and 431.31

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Solution

The fourth proportional to 492.06, 737.79 and 431.31 is: 646.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    492.06 : 737.79 = 431.31 : x
  2. Step 2: Convert to fraction form
    492.06/737.79 = 431.31/x
  3. Step 3: Cross multiply
    492.06x = 737.79 × 431.31
  4. Step 4: Simplify right side
    492.06x = 318,216.20
  5. Step 5: Solve for x
    x = 318,216.20/492.06
  6. Step 6: Final answer
    x = 646.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.